Dual Killing-Yano symmetry and multipole moments in electromagnetism and mechanics of continua

In this work we introduce the Killing-Yano symmetry on the phase space and we investigate the symplectic structure on the space of Killing-Yano tensor s. We perform the detailed analyze of the n-dimensional flat space and the Riemaniann manifolds with constant scalar curvature. We investigate the for m of some multipole tensors, which. arise in the expansion of a system of c harges and currents, in terms of second-order Killing-Yano tensors in the p hase space of classical mechanics. We find some relations between these ten sors and the generators of dynamical symmetries like the angular momentum, the mass-inertia tensor, the conformal operator and the momentum conjugate Runge-Lenz vector.